Enhanced, unconditionally stable, explicit pseudodynamic algorithm

Journal of Engineering Mechanics

Volumn 133, Issue 5, 2007, Pages 541-554

  Chang, Shuenn Yih ^a  

^a NATIONAL TAIPEI UNIVERSITY OF TECHNOLOGY   (Taiwan)

Author keywords

Algorithms; Comparative studies; Dynamic tests; Errors

Indexed keywords

ALGORITHMS; INTEGRATION; ITERATIVE METHODS; STABILITY;

DYNAMIC TESTS; PSEUDODYNAMIC ALGORITHM; PSEUDODYNAMIC TESTING; STEP-BY-STEP INTEGRATION;

DYNAMICS;

ALGORITHMS; DYNAMICS; INTEGRATION; ITERATIVE METHODS; STABILITY;

ALGORITHM; COMPARATIVE STUDY; DYNAMIC ANALYSIS; MECHANICS; NUMERICAL METHOD;

EID: 34247216108     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(2007)133:5(541)     Document Type: Article

References (23)

1. Bathe, K. J., and Wilson, E. L. (1973). "Stability and accuracy analysis of direct integration methods." Earthquake Eng. Struct. Dyn. IJEEBG0098-8847, 1, 283-291.
2. Belytschko, T., and Hughes, T. J. R. (1983). Computational methods for transient analysis, Elsevier Science, New York.
3. Chang, S. Y. (1997). "Improved numerical dissipation for explicit methods in pseudodynamic tests." Earthquake Eng. Struct. Dyn. IJEEBG0098-884710.1002/ (SICI)1096-9845(199709)26:9<917::AID-EQE685>3.0.CO;2-9, 26, 917-929.
4. Chang, S. Y. (2000). "The γ-function pseudodynamic algorithm." J. Earthquake Eng. ZZZZZZ1363-2469, 4(3), 303-320.
5. Chang, S. Y. (2001). "Application of the momentum equations of motion to pseudodynamic testing." Philos. Trans. R. Soc. London, Ser. A PTRMAD0962-8428, 359(1786), 1801-1827.
6. Chang, S. Y. (2002). "Explicit pseudodynamic algorithm with unconditional stability." J. Eng. Mech. JENMDT0733-939910.1061/ (ASCE)0733-9399(2002)128:9(935), 128(9), 935-947.
7. Chang, S. Y., and Liao, W. I. (2005). "An unconditionally stable explicit method for structural dynamics." J. Earthquake Eng. ZZZZZZ1363-2469, 9(3), 349-370.
8. Chang, S. Y., and Mahin, S. A. (1993). "Two new implicit algorithms of pseudodynamic test methods." J. Chinese Institute of Engineers, 16(5), 651-664.
9. Chang, S. Y., Tsai, K. C., and Chen, K. C. (1998). "Improved time integration for pseudodynamic tests." Earthquake Eng. Struct. Dyn. IJEEBG0098-884710.1002/ (SICI)1096-9845(199807)27:7<711::AID-EQE753>3.3.CO;2-Y, 27, 711-730.
10. Goudreau, G. L., and Taylor, R. L. (1972). "Evaluation of numerical integration methods in elastodynamics." Comput. Methods Appl. Mech. Eng. CMMECC0045-7825, 2, 69-97.
11. Hilber, H. M., and Hughes, T. J. R. (1978). "Collocation, dissipation, and 'overshoot' for time integration schemes in structural dynamics." Earthquake Eng. Struct. Dyn. IJEEBG0098-8847, 6, 99-118.
12. Hilber, H. M., Hughes, T. J. R., and Taylor, R. L. (1977). "Improved numerical dissipation for time integration algorithms in structural dynamics." Earthquake Eng. Struct. Dyn. IJEEBG0098-8847, 5, 283-292.
13. Meirovitch, L. (1986). Elements of vibration analysis, McGraw-Hill, New York.
14. Nakashima, M., Kaminosomo, T., and Ishida, M. (1990). "Integration techniques for substructure pseudodynamic test." Proc., 4th U.S. National Conf. on Earthquake Engineering, 2, 515-524.
15. Newmark, N. M. (1959). "A method of computation for structural dynamics." J. Engrg. Mech. Div. JMCEA30044-7951, 85(EM3), 67-94.
16. Peek, R., and Yi, W. H. (1990a). "Error analysis for pseudodynamic test method. I: Analysis." J. Eng. Mech. JENMDT0733-9399, 116(7), 1618-1637.
17. Peek, R., and Yi, W. H. (1990b). "Error analysis for pseudodynamic test method. II: Application." J. Eng. Mech. JENMDT0733-9399, 116(7), 1638-1658.
18. Shing, P. B., and Mahin, S. A. (1987a). "Cumulative experimental errors in pseudodynamic tests." Earthquake Eng. Struct. Dyn. IJEEBG0098-8847, 15, 409-424.
19. Shing, P. B., and Mahin, S. A. (1987b). "Elimination of spurious higher-mode response in pseudodynamic tests." Earthquake Eng. Struct. Dyn. IJEEBG0098-8847, 15, 425-445.
20. Shing, P. B., and Mahin, S. A. (1990). "Experimental error effects in pseudodynamic testing." J. Eng. Mech. JENMDT0733-9399, 116(4), 805-821.
21. Shing, P. B., Vannan, M. T., and Carter, E. (1991). "Implicit time integration for pseudodynamic tests." Earthquake Eng. Struct. Dyn. IJEEBG0098-8847, 20, 551-576.
22. Strang, G. (2006). Linear algebra and its applications, 4th Ed., Thomson, Brooks/Cole, Belmont, Calif.
23. Thewalt, C. R., and Mahin, S. A. (1995). "An unconditionally stable hybrid pseudodynamic algorithm." Earthquake Eng. Struct. Dyn. IJEEBG0098-8847, 24, 723-731.